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Finding the Third Proportional to 129,462.75 and 276,915.38

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Solution

The third proportional to 129,462.75 and 276,915.38 is: 592,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,462.75 : 276,915.38 = 276,915.38 : x
  2. Step 2: Convert to fraction form
    129,462.75/276,915.38 = 276,915.38/x
  3. Step 3: Cross multiply
    129,462.75x = 276,915.38 × 276,915.38
  4. Step 4: Simplify right side
    129,462.75x = 76,682,124,911.39
  5. Step 5: Solve for x
    x = 76,682,124,911.39/129,462.75
  6. Step 6: Final answer
    x = 592,310.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.